Question

Resolva as equações
A) 4× (X-5) +10 =5× (7+2X)
B) -5× (-2X-1) = -14 +7 × (3+X)
C) -2× (1-X) -2 =3 × (1+X)
D) X /oitavos + X dose avos = -5
E) 1 - 2X /20 + X - 3 /5 =X - 1 /4
F) 3 X - 1/ 5 - 2 X - 1 / 3 = 5 X - 10/ 5 - 3 X -6 /2

Answer 1

A) 4x-20+10=5(7+2x)
4x-20+10= 35+10x
4x10=35+10x
4x10-10x=35+10
-6x=45
x=45/-6
x= -7,5

B) -5x(-2x-1)-14+7(3+x)
10x²+5x-14+7(3+x)
10x²+5x-14+7(x+3)
10x²+5x-14+7x+21
10x²+5x+7+7x
= 10x²+12x+7

C ) -2x(-x+1)-2=3x(1+x)
2x²-2x-2=3(1+x)
2x²-2x-2=3(x+1)
2x²-2x-2=3x²+3x
2x²-2x-2-(3x²+3x)=0
2x²-2x-2-3x²+3x=0
-1x²-2x-2-3x=0
-1x²-5x-2=0
-x²-5x-2=0
-(x²+5x+2)=0
x²+5x+2=0
x= -5±√5²-4.1.2
_______
2.1
x=-5±√17
____
2

D) 3x + 2x
____ = -5
24

5x
__
24 =-5

24. 5x
__ =24(-5)
24

5x=24(-5)
5x=-120

5x -120
— = —
5 5

x=-24

E) 1+-2x -3 -1
— + — = —
20 5 4

2 2x -1
— - — = —
5 20 4

8-2x=-5
-2x=-5-8
-2x=-13
x= 13
— = 6,5
2

F)
-1 -1 -10 -6
x+ — + — =5x+ — -3x + —
5 3 5 2

8 -10 -6
x- — 5x+ — -3x + —
15 5 2

8 -6
x- — 5x-2-3x + —
15 2

8
x- — = 5x-2-3x-3
15

8
x- — = 2x-2-3
15

8
x- — = 2x-5
15

8
x- — -2x=-5
15

x-2x=-5 + 8
—
15

8
-x=-5 +—
15

67
-x= - —
15

espero ter ajudado ;)